A Hyperjerk Memristive System with Hidden Attractors

Advances in Memristors, Memristive Devices and Systems - Studies in Computational Intelligence ◽

10.1007/978-3-319-51724-7_3 ◽

2017 ◽

pp. 59-80 ◽

Cited By ~ 1

Author(s):

Viet-Thanh Pham ◽

Sundarapandian Vaidyanathan ◽

Christos Volos ◽

Xiong Wang ◽

Duy Vo Hoang

Keyword(s):

Hidden Attractors ◽

Memristive System

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Analysis of a 4-D Hyperchaotic Fractional-Order Memristive System with Hidden Attractors

Advances in Memristors, Memristive Devices and Systems - Studies in Computational Intelligence ◽

10.1007/978-3-319-51724-7_9 ◽

2017 ◽

pp. 207-235 ◽

Cited By ~ 13

Author(s):

Christos Volos ◽

V.-T. Pham ◽

E. Zambrano-Serrano ◽

J. M. Munoz-Pacheco ◽

Sundarapandian Vaidyanathan ◽

...

Keyword(s):

Fractional Order ◽

Hidden Attractors ◽

Memristive System

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Extreme multi-stability in hyperjerk memristive system with hidden attractors and its adaptive synchronisation scheme

International Journal of Simulation and Process Modelling ◽

10.1504/ijspm.2018.10015888 ◽

2018 ◽

Vol 13 (5) ◽

pp. 433

Author(s):

Ioannis M. Kyprianidis ◽

Ioannis N. Stouboulos ◽

Dimitrios A. Prousalis ◽

Christos K. Volos

Keyword(s):

Hidden Attractors ◽

Memristive System

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Extreme Multistability in a Hyperjerk Memristive System With Hidden Attractors

Recent Advances in Chaotic Systems and Synchronization ◽

10.1016/b978-0-12-815838-8.00006-6 ◽

2019 ◽

pp. 89-103 ◽

Cited By ~ 5

Author(s):

Dimitrios A. Prousalis ◽

Christos K. Volos ◽

Bocheng Bao ◽

Efthymia Meletlidou ◽

Ioannis N. Stouboulos ◽

...

Keyword(s):

Hidden Attractors ◽

Extreme Multistability ◽

Memristive System

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Extreme multi-stability in hyperjerk memristive system with hidden attractors and its adaptive synchronisation scheme

International Journal of Simulation and Process Modelling ◽

10.1504/ijspm.2018.094737 ◽

2018 ◽

Vol 13 (5) ◽

pp. 433 ◽

Cited By ~ 3

Author(s):

Dimitrios A. Prousalis ◽

Christos K. Volos ◽

Ioannis N. Stouboulos ◽

Ioannis M. Kyprianidis

Keyword(s):

Hidden Attractors ◽

Memristive System

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Multi-scroll hidden attractors and multi-wing hidden attractors in a 5-dimensional memristive system

Chinese Physics B ◽

10.1088/1674-1056/26/11/110502 ◽

2017 ◽

Vol 26 (11) ◽

pp. 110502 ◽

Cited By ~ 24

Author(s):

Xiaoyu Hu ◽

Chongxin Liu ◽

Ling Liu ◽

Yapeng Yao ◽

Guangchao Zheng

Keyword(s):

Hidden Attractors ◽

Memristive System

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Hyperchaotic memristive system with hidden attractors and its adaptive control scheme

Nonlinear Dynamics ◽

10.1007/s11071-017-3758-9 ◽

2017 ◽

Vol 90 (3) ◽

pp. 1681-1694 ◽

Cited By ~ 13

Author(s):

Dimitrios A. Prousalis ◽

Christos K. Volos ◽

Ioannis N. Stouboulos ◽

Ioannis M. Kyprianidis

Keyword(s):

Adaptive Control ◽

Hidden Attractors ◽

Control Scheme ◽

Memristive System ◽

Adaptive Control Scheme

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On Coexistence of Fractional-Order Hidden Attractors

Journal of Computational and Nonlinear Dynamics ◽

10.1115/1.4039841 ◽

2018 ◽

Vol 13 (9) ◽

Cited By ~ 3

Author(s):

Manashita Borah

Keyword(s):

Fractional Order ◽

Real Life ◽

Fractional Dimension ◽

Fractional Dynamics ◽

Hidden Attractors ◽

Physical Systems ◽

Memristive System ◽

First Time ◽

Theoretical Analyses ◽

Hyperchaotic Systems

Abstract This paper proposes new fractional-order (FO) models of seven nonequilibrium and stable equilibrium systems and investigates the existence of chaos and hyperchaos in them. It thereby challenges the conventional generation of chaos that involves starting the orbits from the vicinity of unstable manifold. This is followed by the discovery of coexisting hidden attractors in fractional dynamics. All the seven newly proposed fractional-order chaotic/hyperchaotic systems (FOCSs/FOHSs) ranging from minimum fractional dimension (nf) of 2.76 to 4.95, exhibit multiple hidden attractors, such as periodic orbits, stable foci, and strange attractors, often coexisting together. To the best of the our knowledge, this phenomenon of prevalence of FO coexisting hidden attractors in FOCSs is reported for the first time. These findings have significant practical relevance, because the attractors are discovered in real-life physical systems such as the FO homopolar disc dynamo, FO memristive system, FO model of the modulation instability in a dissipative medium, etc., as analyzed in this work. Numerical simulation results confirm the theoretical analyses and comply with the fact that multistability of hidden attractors does exist in the proposed FO models.

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